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Finding the Fourth Proportional to 295,728.36, 443,719.62 and 96,109.92

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Solution

The fourth proportional to 295,728.36, 443,719.62 and 96,109.92 is: 144,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,728.36 : 443,719.62 = 96,109.92 : x
  2. Step 2: Convert to fraction form
    295,728.36/443,719.62 = 96,109.92/x
  3. Step 3: Cross multiply
    295,728.36x = 443,719.62 × 96,109.92
  4. Step 4: Simplify right side
    295,728.36x = 42,645,857,180.63
  5. Step 5: Solve for x
    x = 42,645,857,180.63/295,728.36
  6. Step 6: Final answer
    x = 144,206.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.